# 2n+46=9n-10

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## Solution for 2n+46=9n-10 equation:

Simplifying
2n + 46 = 9n + -10

Reorder the terms:
46 + 2n = 9n + -10

Reorder the terms:
46 + 2n = -10 + 9n

Solving
46 + 2n = -10 + 9n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-9n' to each side of the equation.
46 + 2n + -9n = -10 + 9n + -9n

Combine like terms: 2n + -9n = -7n
46 + -7n = -10 + 9n + -9n

Combine like terms: 9n + -9n = 0
46 + -7n = -10 + 0
46 + -7n = -10

Add '-46' to each side of the equation.
46 + -46 + -7n = -10 + -46

Combine like terms: 46 + -46 = 0
0 + -7n = -10 + -46
-7n = -10 + -46

Combine like terms: -10 + -46 = -56
-7n = -56

Divide each side by '-7'.
n = 8

Simplifying
n = 8`